Electron localization and the mobility edge as a spin glass problem

Amnon Aharony; Yoseph Imry

doi:10.1016/0304-8853(78)90201-9

Electron localization and the mobility edge as a spin glass problem

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Abstract

The transition between electronic localized and extended states at the mobility edge is described as a special type of a "paramagnetic to spin-glass" phase transition. Renormalization group and heuristic arguments are used to discuss the critical properties of this transition. The results tentatively suggest an inhomogeneous transtion via classical percolation asymtotically close to the mobility edge.

Original language	English
Pages (from-to)	269-270
Number of pages	2
Journal	Journal of Magnetism and Magnetic Materials
Volume	7
Issue number	1-4
DOIs	https://doi.org/10.1016/0304-8853(78)90201-9
State	Published - 1 Jan 1978
Externally published	Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1016/0304-8853(78)90201-9

Cite this

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title = "Electron localization and the mobility edge as a spin glass problem",

abstract = "The transition between electronic localized and extended states at the mobility edge is described as a special type of a {"}paramagnetic to spin-glass{"} phase transition. Renormalization group and heuristic arguments are used to discuss the critical properties of this transition. The results tentatively suggest an inhomogeneous transtion via classical percolation asymtotically close to the mobility edge.",

author = "Amnon Aharony and Yoseph Imry",

note = "Funding Information: * Supported in part by a grant from the US-Israel Binatio-nal Science Foundation (BSF), Jerusalem, Israel. ** Supported in part by a grant from the Commission for basic research of the Israeli Academy of Sciences.",

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N2 - The transition between electronic localized and extended states at the mobility edge is described as a special type of a "paramagnetic to spin-glass" phase transition. Renormalization group and heuristic arguments are used to discuss the critical properties of this transition. The results tentatively suggest an inhomogeneous transtion via classical percolation asymtotically close to the mobility edge.

AB - The transition between electronic localized and extended states at the mobility edge is described as a special type of a "paramagnetic to spin-glass" phase transition. Renormalization group and heuristic arguments are used to discuss the critical properties of this transition. The results tentatively suggest an inhomogeneous transtion via classical percolation asymtotically close to the mobility edge.

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Electron localization and the mobility edge as a spin glass problem

Abstract

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